48700537656576 has 576 divisors, whose sum is σ = 146985511680000. Its totient is φ = 14210417295360.

The previous prime is 48700537656571. The next prime is 48700537656599. The reversal of 48700537656576 is 67565673500784.

It is a self number, because there is not a number n which added to its sum of digits gives 48700537656576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48700537656571) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20488235100 + ... + 20488237476.

It is an arithmetic number, because the mean of its divisors is an integer number (255183180000).

Almost surely, 2^{48700537656576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48700537656576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73492755840000).

48700537656576 is an abundant number, since it is smaller than the sum of its proper divisors (98284974023424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48700537656576 is a wasteful number, since it uses less digits than its factorization.

48700537656576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 889056000, while the sum is 69.

The spelling of 48700537656576 in words is "forty-eight trillion, seven hundred billion, five hundred thirty-seven million, six hundred fifty-six thousand, five hundred seventy-six".